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A solution containing 1 mole of solute has an osmotic pressure of 4 × 105 N m2 at 300 K. Calculate its volume if 1 mole of same solute in 12 m3 has an osmotic pressure of

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Question

A solution containing 1 mole of solute has an osmotic pressure of 4 × 105 N m2 at 300 K. Calculate its volume if 1 mole of same solute in 12 m3 has an osmotic pressure of 3 × 105 N m2 at the same temperature.

Options

  • 3 m3

  • 6 m3

  • 9 m3

  • 12 m3

MCQ
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Solution

9 m3

Explanation:

π1V1 = π2V2

V1 = `(π_2"V"_2)/(π_1) = (3 xx 10^5  "N m"^-2 xx 12  "m"^3)/(4 xx 10^5  "N m"^-2)` = 9 m3

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